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1995 | 88 | 6 | 1073-1080
Article title

Homoclinic Chaos in Generalized Henon-Heiles System

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EN
Abstracts
EN
This paper considers the generalized Henon-Heiles system, defined by the Hamiltonian Η = (p^{2}_{1} + p^{2}_{2} + Αq^{2}_{1} + Bq^{2}_{2})/2 + Cq^{2}_{1}q_{2} + Dq^{3}_{2}. Melnikov's method is used to prove the existence of nondegenerate homoclinic orbits near two integrable cases: (o) C = 0; A, B, D arbitrary; (i) A = B; C = 3D. The existence of such orbits precludes the existence of analytic second integrals.
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EN
Year
Volume
88
Issue
6
Pages
1073-1080
Physical description
Dates
published
1995-12
received
1995-06-27
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Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv88z602kz
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